Math, asked by Bt21army, 5 months ago

© If z is acomplex number find the arg (|z|)

Answers

Answered by Anonymous

3

Answer:

Consider

z=∣z∣e

iθ

Now,

−z=∣z∣e

i(θ±π)

=∣z∣e

i

θ

ˉ

where

θ

ˉ

=arg(−z)

Then

arg(−z)−arg(z)=

θ

ˉ

−θ=±π

This has been verified numerically for random values of z.

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